A novel trigonometric operation-based q-rung orthopair fuzzy aggregation operator and its fundamental properties

The q-rung orthopair fuzzy sets (q-ROFSs) are a prominent idea to express the fuzzy information in the decision-making process and are the generalization of the existing intuitionistic fuzzy set and Pythagorean fuzzy set. The q-ROFSs can dynamically adapt the information by changing the parameter \(q\ge 1\) based on the membership degree and therefore support more innumerable possibilities. Driven by these requisite characteristics, this paper aspires to present some sine trigonometric operations laws for q-ROFSs. The sine trigonometry function preserves the periodicity and symmetric about the origin, and hence, it satisfies the decision-maker preferences toward the evaluation of the objects. Associated with these laws, we define a series of new aggregation operators named as sine trigonometry weighted averaging and geometric operators to aggregate the q-rung orthopair fuzzy information. The fundamental relations between the proposed operators are also examined. Afterward, we present a group decision-making technique to solve the multiple attribute group decision-making problems based on proposed operators and illustrate with a numerical example to verify it. The superiors, as well as the advantages of the proposed operators, are also discussed in it. Lastly, the influence of the membership degrees on the operations has been investigated and found that when the parameter q increases from 2 to 4 and then from 4 to 7, then there is the certain change in the range of the score values.